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3734725644 = 2234135471621
BaseRepresentation
bin1101111010011011…
…0110010000001100
3100122021112201110000
43132212312100030
530122042210034
61414332044300
7161356433646
oct33646662014
910567481400
103734725644
111647178721
12882903690
13476991840
1427601d896
1516cd25599
hexde9b640c

3734725644 has 120 divisors (see below), whose sum is σ = 10540054448. Its totient is φ = 1146337920.

The previous prime is 3734725639. The next prime is 3734725649. The reversal of 3734725644 is 4465274373.

3734725644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3734725639) and next prime (3734725649).

It is a self number, because there is not a number n which added to its sum of digits gives 3734725644.

It is not an unprimeable number, because it can be changed into a prime (3734725649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2303154 + ... + 2304774.

Almost surely, 23734725644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734725644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270027224).

3734725644 is an abundant number, since it is smaller than the sum of its proper divisors (6805328804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3734725644 is a wasteful number, since it uses less digits than its factorization.

3734725644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2186 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 45.

The square root of 3734725644 is about 61112.4017201092. The cubic root of 3734725644 is about 1551.5040058469.

The spelling of 3734725644 in words is "three billion, seven hundred thirty-four million, seven hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 547 702 1053 1094 1404 1621 1641 2106 2188 3242 3282 4212 4863 4923 6484 6564 7111 9726 9846 14222 14589 14769 19452 19692 21073 21333 28444 29178 29538 42146 42666 43767 44307 58356 59076 63219 63999 84292 85332 87534 88614 126438 127998 131301 175068 177228 189657 191997 252876 255996 262602 379314 383994 525204 568971 575991 758628 767988 886687 1137942 1151982 1706913 1773374 2275884 2303964 2660061 3413826 3546748 5320122 6827652 7980183 10640244 11526931 15960366 23053862 23940549 31920732 34580793 46107724 47881098 69161586 71821647 95762196 103742379 138323172 143643294 207484758 287286588 311227137 414969516 622454274 933681411 1244908548 1867362822 3734725644